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Finding the Fourth Proportional to 1,191.97, 1,787.46 and 461.13

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Solution

The fourth proportional to 1,191.97, 1,787.46 and 461.13 is: 691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.97 : 1,787.46 = 461.13 : x
  2. Step 2: Convert to fraction form
    1,191.97/1,787.46 = 461.13/x
  3. Step 3: Cross multiply
    1,191.97x = 1,787.46 × 461.13
  4. Step 4: Simplify right side
    1,191.97x = 824,251.43
  5. Step 5: Solve for x
    x = 824,251.43/1,191.97
  6. Step 6: Final answer
    x = 691.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,192.97, 1,788.96 and 462.13
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.